Using multiscale norms to quantify mixing and transport

JL Thiffeault - Nonlinearity, 2012 - iopscience.iop.org
Mixing is relevant to many areas of science and engineering, including the pharmaceutical
and food industries, oceanography, atmospheric sciences and civil engineering. In all these …

Bounds on heat transfer by incompressible flows between balanced sources and sinks

B Song, G Fantuzzi, I Tobasco - Physica D: Nonlinear Phenomena, 2023 - Elsevier
Internally heated convection involves the transfer of heat by fluid motion between a
distribution of sources and sinks. Focusing on the balanced case where the total heat added …

Universal mixers in all dimensions

TM Elgindi, A Zlatoš - Advances in Mathematics, 2019 - Elsevier
We construct universal mixers, incompressible flows that mix arbitrarily well general
solutions to the corresponding transport equation, in all dimensions. This mixing is …

Mixing and un-mixing by incompressible flows

A Zlatoš, Y Yao - Journal of the European Mathematical Society, 2017 - ems.press
Mixing and un-mixing by incompressible flows Page 1 DOI 10.4171/JEMS/709 J. Eur. Math.
Soc. 19, 1911–1948 c European Mathematical Society 2017 Yao Yao · Andrej Zlatoš Mixing …

Lower bounds on the mix norm of passive scalars advected by incompressible enstrophy-constrained flows

G Iyer, A Kiselev, X Xu - Nonlinearity, 2014 - iopscience.iop.org
Consider a diffusion-free passive scalar θ being mixed by an incompressible flow u on the
torus ${\mathbb T}^ d $. Our aim is to study how well this scalar can be mixed under an …

Exponential mixing for random dynamical systems and an example of Pierrehumbert

A Blumenthal, M Coti Zelati… - The Annals of …, 2023 - projecteuclid.org
We consider the question of exponential mixing for random dynamical systems on arbitrary
compact manifolds without boundary. We put forward a robust, dynamics-based framework …

Wall to wall optimal transport

P Hassanzadeh, GP Chini, CR Doering - Journal of fluid mechanics, 2014 - cambridge.org
The calculus of variations is employed to find steady divergence-free velocity fields that
maximize transport of a tracer between two parallel walls held at fixed concentration for one …

Inviscid dam** and enhanced dissipation of the boundary layer for 2D Navier–Stokes linearized around Couette flow in a channel

J Bedrossian, S He - Communications in Mathematical Physics, 2020 - Springer
We study the 2D Navier–Stokes equations linearized around the Couette flow (y, 0)^ t (y, 0) t
in the periodic channel T *-1, 1 T×-1, 1 with no-slip boundary conditions in the vanishing …

The diffusive strip method for scalar mixing in two dimensions

P Meunier, E Villermaux - Journal of fluid mechanics, 2010 - cambridge.org
We introduce a new numerical method for the study of scalar mixing in two-dimensional
advection fields. The position of an advected material strip is computed kinematically, and …

Fast distributed average consensus algorithms based on advection-diffusion processes

S Sardellitti, M Giona… - IEEE Transactions on …, 2009 - ieeexplore.ieee.org
Distributed consensus algorithms have recently gained large interest in sensor networks as
a way to achieve globally optimal decisions in a totally decentralized way, that is, without the …